ci: website: Only trigger website workflow on push to main and github-actions/update-doc

Author: luhenry

.github/workflows/website.yml

@@ -5,12 +5,7 @@ name: Build and deploy website
 
 on:
   push:
-    branches: [main]
-    paths:
-      - "docs/**"
-      - "ci_scripts/dashboard/**"
-  pull_request:
-    types: [opened, synchronize, reopened, closed]
+    branches: [main, github-actions/update-doc]
     paths:
       - "docs/**"
       - "ci_scripts/dashboard/**"